Question

Holla

Plz solve it

64x3 - 125y3

Answer 1

Answer:

(4x - 5y) • (16x2 + 20xy + 25y2)

Answer 2

Step by step explanation:

sᴛᴇᴘ  1  :ᴇϙᴜᴀᴛɪᴏɴ ᴀᴛ ᴛʜᴇ ᴇɴᴅ ᴏғ sᴛᴇᴘ  1  : (64 • (x3)) - 53ʏ3 sᴛᴇᴘ  2  :ᴇϙᴜᴀᴛɪᴏɴ ᴀᴛ ᴛʜᴇ ᴇɴᴅ ᴏғ sᴛᴇᴘ  2  : 26x3 - 53ʏ3 sᴛᴇᴘ  3  :ᴛʀʏɪɴɢ ᴛᴏ ғᴀᴄᴛᴏʀ ᴀs ᴀ ᴅɪғғᴇʀᴇɴᴄᴇ ᴏғ ᴄᴜʙᴇs:

 3.1      ғᴀᴄᴛᴏʀɪɴɢ:  64x3-125ʏ3 

ᴛʜᴇᴏʀʏ : ᴀ ᴅɪғғᴇʀᴇɴᴄᴇ ᴏғ ᴛᴡᴏ ᴘᴇʀғᴇᴄᴛ ᴄᴜʙᴇs,  ᴀ3 - ʙ3ᴄᴀɴ ʙᴇ ғᴀᴄᴛᴏʀᴇᴅ ɪɴᴛᴏ

              (ᴀ-ʙ) • (ᴀ2 +ᴀʙ +ʙ2)

ᴘʀᴏᴏғ :  (ᴀ-ʙ)•(ᴀ2+ᴀʙ+ʙ2) =

            ᴀ3+ᴀ2ʙ+ᴀʙ2-ʙᴀ2-ʙ2ᴀ-ʙ3 =

            ᴀ3+(ᴀ2ʙ-ʙᴀ2)+(ᴀʙ2-ʙ2ᴀ)-ʙ3 =

            ᴀ3+0+0+ʙ3 =

            ᴀ3+ʙ3

ᴄʜᴇᴄᴋ :  64  ɪs ᴛʜᴇ ᴄᴜʙᴇ ᴏғ  4 

ᴄʜᴇᴄᴋ :  125  ɪs ᴛʜᴇ ᴄᴜʙᴇ ᴏғ   5 

ᴄʜᴇᴄᴋ :  x3 ɪs ᴛʜᴇ ᴄᴜʙᴇ ᴏғ   x1

ᴄʜᴇᴄᴋ :  ʏ3 ɪs ᴛʜᴇ ᴄᴜʙᴇ ᴏғ   ʏ1

ғᴀᴄᴛᴏʀɪᴢᴀᴛɪᴏɴ ɪs :

             (4x - 5ʏ)  •  (16x2 + 20xʏ + 25ʏ2)